My papers can be found on the arxiv.

Preprints and publications

  1. K-theoretic positivity for matroids (with C. Eur). Arxiv.
  2. Kapranov degrees (with J. Brakensiek, C. Eur, and S. Li). Arxiv.
  3. K-classes of delta-matroids and equivariant localization (with C. Eur and H. Spink). Arxiv.
  4. Rank functions and invariants of delta-matroids. Arxiv.
  5. K-rings of wonderful varieties and matroids (with S. Li, S. Payne, and N. Proudfoot). Arxiv.
  6. Signed permutohedra, delta-matroids, and beyond (with C. Eur, A. Fink, and H. Spink). Arxiv.
  7. The local motivic monodromy conjecture for simplicial nondegenerate singularities (with S. Payne and A. Stapledon). Arxiv.
  8. The Bergman fan of a polymatroid (with C. Crowley, J. Huh, C. Simpson, and B. Wang). Arxiv.
  9. Kazhdan-Lusztig polynomials of braid matroids (with L. Ferroni). To appear in Comm. Amer. Math. Soc.
  10. Intersection theory of polymatroids (with C. Eur). To appear in Int. Math. Res. Not. IMRN.
  11. Stellahedral geometry of matroids (with C. Eur and J. Huh). Forum Math. Pi 11 (2023). 48pp.
  12. Resolutions of local face modules, functoriality, and vanishing of local h-vectors (with S. Payne and A. Stapledon). Algebr. Comb. 6 (2023). 15pp.
  13. The Arakelov-Zhang pairing and Julia sets (with A. Bridy). Proc. Amer. Math. Soc. 149 (2021). 14pp.
  14. Inverse problems for minimal complements and maximal supplements (with N. Alon and N. Kravitz). J. Number Theory (2021). 18pp.
  15. Unions of Random Trees and Applications (with A. James, D. Montealegre, and A. Salmon). Disc. Math. 344 (2021). 13pp.
  16. Power maps in finite groups. Integers 19 (2019). 15pp.

Other writings

  1. Theorem of the base (with R. Cheng, L. Ji, and N. Olander). Stacks Project Expository Collection, 163-193, London Math. Soc. Lecture Note Ser., 480, Cambridge Univ. Press, Cambridge, 2022.

Slides

  1. Algebraic geometry of delta-matroids
  2. Nonvanishing criteria for local h-polynomials
  3. Geometry of polymatroids

Talks

I gave a talk about invariants of delta-matroids. The talk was aimed at experts.

Programming

I've written some code in Sage to compute certain intersection numbers on the Deligne-Mumford-Knudsen moduli space of stable curves of genus 0 with marked points, which we called "Kapranov degrees" and studied in this paper. The code can be found here.